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Finding the Fourth Proportional to 2,089.29, 2,886.03 and 1,672.63

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Solution

The fourth proportional to 2,089.29, 2,886.03 and 1,672.63 is: 2,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.29 : 2,886.03 = 1,672.63 : x
  2. Step 2: Convert to fraction form
    2,089.29/2,886.03 = 1,672.63/x
  3. Step 3: Cross multiply
    2,089.29x = 2,886.03 × 1,672.63
  4. Step 4: Simplify right side
    2,089.29x = 4,827,253.14
  5. Step 5: Solve for x
    x = 4,827,253.14/2,089.29
  6. Step 6: Final answer
    x = 2,310.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.